Solve the following systems of equations:\(\frac{2}{\sqrt x}\) + \(\

1.	Solve the following systems of equations:\(\frac{2}{\sqrt x}\) + \(\frac{3}{\sqrt y}\) = 2\(\frac{4}{\sqrt x}\) - \(\frac{9}{\sqrt y}\) = - 1
Answer» \(\frac{2}{\sqrt x}\) + \(\frac{3}{\sqrt y}\) = 2 \(\frac{4}{\sqrt x}\) - \(\frac{9}{\sqrt y}\) = - 1 Multiplying eq1 by 3 and adding to eq2 ⇒ 10/√x = 5 ⇒ √x = 2 ⇒ x = 4 Thus, ⇒ 2/√4 + 3/√y = 2 ⇒ y = 9

Solve the following systems of equations:\(\frac{2}{\sqrt x}\) + \(\frac{3}{\sqrt y}\) = 2\(\frac{4}{\sqrt x}\) - \(\frac{9}{\sqrt y}\) = - 1

Answer»

\(\frac{2}{\sqrt x}\) + \(\frac{3}{\sqrt y}\) = 2

\(\frac{4}{\sqrt x}\) - \(\frac{9}{\sqrt y}\) = - 1

Multiplying eq1 by 3 and adding to eq2

⇒ 10/√x = 5

⇒ √x = 2

⇒ x = 4

Thus,

⇒ 2/√4 + 3/√y = 2

⇒ y = 9